3 papers
math.ST2022
Fractal dimension, approximation and data sets
L. Betti, I. Chio, J. Fleischman +13
The purpose of this paper is to study the fractal phenomena in large data sets and the associated questions of dimension reduction. We examine situations where the classical Princi…
math-ph2019
Chromatic Zeros On Hierarchical Lattices and Equidistribution on Parameter Space
Ivan Chio, Roland Roeder
Associated to any finite simple graph is the chromatic polynomial whose complex zeroes are called the chromatic zeros of . A hierarchical lattice is a sequence of f…
math-ph2018
Limiting Measure of Lee--Yang Zeros for the Cayley Tree
Ivan Chio, Caleb He, Anthony L. Ji +1
This paper is devoted to an in-depth study of the limiting measure of Lee--Yang zeroes for the Ising Model on the Cayley Tree. We build on previous works of Müller-Hartmann-Zittart…